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Math unit 1- GRCA
Math unit 1- Algebra 2 terms GRCA
| Term | Definition |
|---|---|
| Axis of Symmetry | 𝒙= 𝒃/𝟐𝒂, line that divides parabola in a half through the vertex |
| Completing the Square | method for rewriting a function, used for converting between standard and vertex forms; also process of adding a constant to both sides to make perfect square trinomial. |
| Complex Conjugate | a pair of complex numbers, a + bi and a – bi, whose real parts are the same but whose imaginary parts are oppositesex. 6 + 5i and 6 – 5i |
| Complex Number | numbers that use the imaginary unit i, andcan be written in the form, a + bi, where a and b are real numbers |
| Difference of squares | 𝒂^𝟐−𝒃^𝟐=(𝒂+𝒃)(𝒂 −𝒃) |
| Discriminant | 𝒃^𝟐 −𝟒𝒂𝒄, used to determine number and type ofsolutions a quadratic equation has |
| Distributive Property | a(b + c) = ac + bc |
| Factoring By Grouping | technique involving grouping terms with common factors before factoring |
| Imaginary Part of a Complex Number | the value of the realnumber b in the complexnumber a + bi |
| Imaginary Number | complex number a + bi, in which b ≠ 0 |
| Imaginary Unit | 𝒊= √(−𝟏) |
| Maximum | highest point, vertex when a is negative |
| Minimum | lowest point, vertex when a is positive |
| Perfect Square Trinomial | 𝒂^𝟐+𝟐𝒂𝒃+ 𝒃^𝟐=(𝒂+𝒃)^𝟐 |
| Purely Imaginary Number | complex number where a = 0 and b ≠ 0 , 3i |
| Quadratic Equation | 𝒇(𝒙)=𝒂𝒙^𝟐+𝒃𝒙+𝒄, highest exponent is a 2 |
| Quadratic Formula | (−𝒃±√(𝒃^𝟐−𝟒𝒂𝒄) )/𝟐𝒂 |
| Radicand | value under a radical sign, √𝒓𝒂𝒅𝒊𝒄𝒂𝒏𝒅 |
| Real Part of a Complex Number | the value of the real number, a,in the complex number a + bi |
| Roots | Solutions, Zeros |
| Square Root Property | solving equation by taking the square root on both sides: 𝒙= ±√𝒌 |
| Standard Form of a Complex Number | a + bi, where a and b are real and i is imaginary |
| Standard Form of a Quadratic Equation | 𝒇(𝒙)=𝒂𝒙^𝟐+𝒃𝒙+𝒄 |
| Vertex | highest or lowest point of a parabola, where the graph turns: (h,k) |
| Vertex Form of a Quadratic Equation | 𝒇(𝒙)=𝒂(𝒙 −𝒉)^𝟐+𝒌 |
| X-Intercepts | where graph crosses the x-axis, when y = 0 |
| Y-Intercepts | where graph crosses the y-axis, when x = 0 |
| Zero-Product Property | If the product of two numbers is zero, at one of the two numbers is 0 |